This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Write the given expression. 0.81 × 10^-52.28 × 10^-7 Step 2: Separate the numerical coefficients and the powers of 10. ((0.81)/(2.28)) × (10^-510^-7) Step 3: Calculate the division of the numerical coefficients. (0.81)/(2.28) ≈ 0.35526315789 Step 4: Calculate the division of the powers of 10 using the rule (a^m)/(a^n) = a^m-n. 10^-510^-7 = 10^-5 - (-7) = 10^-5 + 7 = 10^2 Step 5: Multiply the results from Step 3 and Step 4. 0.35526315789 × 10^2 = 35.526315789 Step 6: Round the answer to an appropriate number of significant figures. The number 0.81 has 2 significant figures, and 2.28 has 3 significant figures. The result should be rounded to the least number of significant figures, which is 2. 35.526315789 ≈ 36 Step 7: Express the final answer in scientific notation. 36 = 3.6 × 10^1 The final answer is 3.6 × 10^1.